Atkin-Lehner |
2- 7- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
10318i |
Isogeny class |
Conductor |
10318 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
1043440685056 = 212 · 7 · 112 · 673 |
Discriminant |
Eigenvalues |
2- 1 3 7- 11+ -1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2624,-16384] |
[a1,a2,a3,a4,a6] |
j |
1998138318898177/1043440685056 |
j-invariant |
L |
5.6529871228046 |
L(r)(E,1)/r! |
Ω |
0.70662339035058 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
82544v1 92862z1 72226k1 113498c1 |
Quadratic twists by: -4 -3 -7 -11 |